Definable stratification satisfying the Whitney property with exponent 1

Volume 92 / 2007

Beata Kocel-Cynk Annales Polonici Mathematici 92 (2007), 155-162 MSC: 14P15, 32B20. DOI: 10.4064/ap92-2-4


We prove that for a finite collection of sets $A_1,\dots,A_s\subset\mathbb R^{k+n}$ definable in an o-minimal structure there exists a compatible definable stratification such that for any stratum the fibers of its projection onto $\mathbb R^k$ satisfy the Whitney property with exponent~1.


  • Beata Kocel-CynkInstitute of Mathematics
    Cracow University of Technology
    Warszawska 24
    31-155 Kraków, Poland

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